Research Interests
Kobayashi metric.
Geometric function theory.
Gromov hyperboliticy in complex geometry.
Metric geometry.
Holomorphic dynamics.
Papers & Preprint
M. Fiacchi, N. Nikolov, Precise estimates for certain distances in Rᵈ, arXiv:2412.10012, 2024.
L. Arosio, M. Fiacchi, The Julia-Wolff-Carathéodory Theorem in convex finite type domains, J. Reine Angew. Math. (Crelle's Journal), 2025.
L. Arosio, M. Fiacchi, On the approaching geodesics property, Boll. Un. Mat. Ital., 18(1), 3–16, 2025.
M. Fiacchi, On the Gromov hyperbolicity of the minimal metric, Math. Z. 308, 24, 2024.
L. Arosio, M. Fiacchi, L. Guerini, A. Karlsson, Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces, Adv. Math, 439, 2024.
L. Arosio, G.M. Dall'Ara, M. Fiacchi, Worm domains are not Gromov hyperbolic, J Geom Anal 33, 257, 2023.
L. Arosio, M. Fiacchi, S. Gontard, L. Guerini, The horofunction boundary of a Gromov hyperbolic space, Math. Ann., 2022.
M. Fiacchi, Gromov hyperbolicity of pseudoconvex finite type domains in C², Math. Ann., 382:37–68, 2022.
M. Fiacchi, Approximation and Loewner Theory of holomorphic covering mappings, Annali di Matematica Pura e applicata, 199, 795–808, 2020.
M. Fiacchi, The embedding conjecture and the approximation conjecture in higher dimensions, Geometric Function Theory in Higher Dimensions, Springer INdAM Series, 2017, 1-10.